theoretically yes, but in practice no. i was born into a middle class family and though i'm queer i'm even in one of the safest states, though not counties, in the US for lgbtq+ people.
but frankly detailing your "starting hand" needs to also account for the trauma from a dysfunctional and neglectful family, mental health issues, neurodivergence, etc. it's not as simple as it looks on paper and id assume from an outsiders point of view it looks like i have nothing to complain about, but if you knew my family and the way i grew up you'd understand entirely why i am the way i am.
i think this also applies to most people with severe depression — depression is a disease that doesn't let you recognize you have one, so you just think you're lazy or not trying hard enough rather than you having a debilitating disease that eats away at your mind and makes you rot away.